Finding the Third Proportional to 140,706 and 287,142

Step by Step Solution

1. Step 1: Write the proportion equation
   140,706 : 287,142 = 287,142 : x
2. Step 2: Convert to fraction form
   140,706/287,142 = 287,142/x
3. Step 3: Cross multiply
   140,706x = 287,142 × 287,142
4. Step 4: Simplify right side
   140,706x = 82,450,528,164
5. Step 5: Solve for x
   x = 82,450,528,164/140,706
6. Step 6: Final answer
   x = 585,977.34